Answer:
I am having a hard time reading the letters, so I hope this makes sense. I think that the numbers for the top triangles is given is 6 and 3. That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2. It is the same for the bottom triangles.
Step-by-step explanation:
If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle. You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.
If one side is 3 and the other triangles side is 6. I am asking myself what do I have to multiple 3 by to get 6? 2. That is my scale factor.
3x = 6
x = 2
The scale factors are always reciprocals of each other. If I go the other direction I can write the equation
6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.
The bottom triangles:
2.5 x = 5
x = 2
and
5x = 2.5
x =1/2
105 i think nvm not corrupted picture
Answer:
Solving 14t-3t we get 22 and 3t-14t we get -22
So, 14t-3t is not equivalent to 3t-14t.
Step-by-step explanation:
We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.
<em>Equivalent expressions are those that have same values for any value of variable substituted.</em>
Now, We check if our expressions are equivalent, by evaluating the expression for t=2.
If they are equivalent, they would have same result after evaluation.
First, put t=2 into 14t-3t

Now put t=2, into 3t-14t

For solving 14t-3t we get 22 and 3t-14t we get -22
So, 14t-3t is not equivalent to 3t-14t.
Answer:
C
Step-by-step explanation:
We want a line of best fit, which means we want to create a line that the data points will lie closest to.
One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.
Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:
(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4
Eliminate A and B.
Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.
The answer is C.